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Finding the Fourth Proportional to 9,364.95, 14,040.41 and 5,666.42

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Solution

The fourth proportional to 9,364.95, 14,040.41 and 5,666.42 is: 8,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.95 : 14,040.41 = 5,666.42 : x
  2. Step 2: Convert to fraction form
    9,364.95/14,040.41 = 5,666.42/x
  3. Step 3: Cross multiply
    9,364.95x = 14,040.41 × 5,666.42
  4. Step 4: Simplify right side
    9,364.95x = 79,558,866.80
  5. Step 5: Solve for x
    x = 79,558,866.80/9,364.95
  6. Step 6: Final answer
    x = 8,495.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.